Trapped waves in thin elastic plates

Research output: Contribution to journalArticle (Academic Journal)peer-review

15 Citations (Scopus)


In this paper we present new results which illustrate the existence of trapped modes on a thin elastic plate, which is infinitely long, of finite uniform width and simply-supported along the two parallel edges. The plates contain a circular cut-out on the centreline of the strip whose edges are either free or clamped. The trapped waves describe time-harmonic vibrations of a frequency below a cut-off frequency which are localised to the circular cut-out and decay along the strip. Results show that whilst no trapped waves occur for a circular hole with a clamped-edge, for a hole with a free edge trapped waves occur in all four possible modes of symmetry.
Original languageEnglish
Pages (from-to)3
Number of pages15
JournalWave Motion
Issue number1-2
Publication statusPublished - Nov 2007


  • Thin elastic plates; Trapped waves; Circular holes; Simply-supported strip


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